Asset X pays $50,000 one year from today, $50,000 two years from today, and $150
ID: 2811825 • Letter: A
Question
Asset X pays $50,000 one year from today, $50,000 two years from today, and $150,000 three years from today. Asset Y pays nothing until it pays a single payment of $150,000 exactly 3 year from today. Which statement is correct comparing Asset X to Asset Y? Please note that no actual calculation is needed to answer this question.
a.
Asset X has a higher Macaulay's duration, and its present value is less sensitive to the discount rate use.
b.
Asset X has a higher Macaulay's duration, and its present value is more sensitive to the discount rate use.
c.
Asset Y has a higher Macaulay's duration, and its present value is less sensitive to the discount rate use.
d.
Asset Y has a higher Macaulay's duration, and its present value is more sensitive to the discount rate use.
a.
Asset X has a higher Macaulay's duration, and its present value is less sensitive to the discount rate use.
b.
Asset X has a higher Macaulay's duration, and its present value is more sensitive to the discount rate use.
c.
Asset Y has a higher Macaulay's duration, and its present value is less sensitive to the discount rate use.
d.
Asset Y has a higher Macaulay's duration, and its present value is more sensitive to the discount rate use.
Explanation / Answer
Answer: D. Asset Y has a higher Macaulay's duration, and its present value is more sensitive to the discount rate use.
The Macaulay duration is 3 years for Asset Y because it has single payment at end of the year 3 and be whatever discount rate in case of Asset Y the Macaulay duration will be same i.e. 3 years at all discount rates.
The present value of Asset Y will be more sensitive to the discount rates because it has only one payment at end of the third year and farthest cash flow will be impacted more by discount rates.
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